Abstract: We consider a feedback control problem of first-order coupled hyperbolic partial integrodifferential equations with distributed and boundary inputs. As the distributed inputs to the system, the output feedback control is first applied under zero boundary inputs. Then, we apply a backstepping method to the design of the boundary inputs. Our main result shows that, for any initial data ...

As an object of course control, the ship is characterised by a nonlinear function describing static manoeuvring characteristics that reflect the steady-state relation between the rudder deflection and the rate of turn of the hull. One of the methods which can be used for designing a nonlinear ship course controller is the backstepping method. It is used here for designing two configurations of ...

A novel adaptive nonlinear controller based on backstepping with integrator is proposed for motion control systems. Backstepping is a practical nonlinear control scheme based on Lyapunov design approach, which can therefore guarantee the convergence of the position tracking error to zero. We utilize the integral action in the backstepping to increase control action in the steady state against t...

In this paper we present a new design method for the fight control of an autonomous quadrotor helicopter based on fuzzy sliding mode control using backstepping approach. Due to the underactuated property of the quadrotor helicopter, the controller can move three positions (x,y,z) of the helicopter and the yaw angle to their desired values and stabilize the pitch and roll angles. A first-order n...

Compared with traditional aircraft, the near space hypersonic unmanned aerial vehicle control system design must deal with the extra prominent dynamics characters, which are differ from the traditional aircrafts control system design. A new robust adaptive control design method is proposed for one hypersonic unmanned aerial vehicle (HSUAV) uncertain MIMO nonaffine block control system by using ...

In this paper, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic sy...

The paper discusses several Lyapunov-based controller and observer techniques that enhance the conventional Speed-Gradient control design approach. Our developments cover the treatment of the derivative action, time-delays, backstepping via dynamic surface control, and feedforward governor to satisfy pointwise-in-time constraints. Some of these enhancements have been already proposed in the pri...

This paper develops a robust adaptive control for a class of nonlinear systems using the backstepping method. The proposed robust adaptive control is a recursive method based on the Lyapunov synthesis approach. It ensures that, for any initial conditions, all the signals of the closed‐loop system are regularly bounded and the tracking errors converge to zero. The re...

In this paper, a Luenberger-type boundary observer is presented for a class of distributed-parameter systems described by time-varying linear hyperbolic partial integro-differential equations. First, known limitations due to the minimum observation time for simple transport equations are restated for the considered class of systems. Then, the backstepping method is applied to determine the unkn...

The dynamics model considering payload eccentricity and friction effects of an omni-directional mobile robot is first derived using Lagrange’s equation. Based on the dynamics model with uncertainty, a stable adaptive fuzzy control law is derived using the backstepping method via Lyapunov stability theory. In order to compensate for the model uncertainty, a nonlinear damping term and a fuzzy fun...